(a) Estimate the area under the graph of f(x) = 9 + 2x from x = -1 to x = 2 using three rectangles and right endpoints. R3 %3D Then improve your estimate by using six rectangles. R6

Q: The region between the graphs of f(x)=x^2+3 and g(x)=−x+5 has ____________area square units.

A:

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−(6/7x) and the line…

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Q: For f(x)=3x2 +4x+5on the interval [-1, 1] estimate the area using 4 rectangles.  Do this with height…

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Q: find the average rate of change from f(4) to f(10) in the function f(x)=x2+3

A: We have to find the average rate of change from f(4) to f(10) in the function f(x) = x2 + 3 We know…

Q: The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of…

A: Explained below

Q: Q3. (a) Mention the engineering application of interpolation and integration. (b) The

A: To Find the engineering applications of interpolation and integration

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Q: Find the value of [n] for which the area below the x-axis of the curve y = x" log x is d equal…

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Q: estimate f(x) dx using three equal subintervals with right endpoints, left endpoints, and midpoints.

A: Let us take the subintervals , [3,5],[5,7] and [7,9] to estimate the integral. Using the right end…

Q: Find the absolute extrema of h(x)=3x÷2 on {-2,3}.

A: H(x) is the straight line so absolute extrema will be at ends on domain

Q: Approximate the area under the following curve and above the x-axis on the given interval, using…

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Q: Find number of units X that produces a maximum revenue R. R=99x^2 - 0.06x^3

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Q: A population of bacteria is growing according to the equation P(t) = 1950e" 10. Estimate when the…

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Q: The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of…

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Q: The marginal cost function for the manufacture of wireless headphones is given by C'(x) = 34 −…

A: Given: Marginal cost function is given as:

Q: Calculate L6 for f(x) = \6x + 1 over [1,3]. (Give your answer to three decimal places.)

A:

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: Q 4 Find the average rate of change between 5 and 0 for: f(x) = 6x2 -9x - 6

A: Obtain the average rate of change of function as follows:

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A:

Q: Find the average rate of change of f (x) =-2x´+6 from x=-3 to x=-1. Simplify your answer as much as…

A: Topic  = Algebra

Q: Calculate L6 for f(x) = V9x + 3 over [1,3]. (Give your answer to three decimal places.)

A: Find the approximation L6 for the function fx=9x+3 over [1,3].

Q: The region in the first quadrant bounded by the x-axis and f (x) = 3x – x² is

A: The graph of region bounded by curves y=3x-x^2 and x-axis is

Q: Consider the function  f(x) = 2x + 3. (a) Estimate the area between the graph of f and the x-axis…

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Q: The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of…

A: Area = length x width A = L x W

Q: What is the average rate of change for f(x) = 2X - 4 over the interval 2 sxs6? A) 8. 3) 10 15 18

A:

Q: An oral medication is absorbed into the bloodstream at the rate of 7e−0.04t milligrams per minute,…

A: An oral medication is absorbed into the bloodstream at the rate of 7e-0.04t.

Q: Calculate L6 for f(x) = v5x + 3 over [1,3]. (Give your answer to three decimal places.) L6 =

A:

Q: The length of a rectangle is increasing at a rate of 9 cm/s and Its width is increasing at a rate of…

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Q: On a typical day, a city consumes water at the rate of r(t) = 100 + 72t − 3t2 (in thousands of…

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Q: Calculate L6 for f(x) = V6x + 2 over [1,3]. (Give your answer to three decimal places.) L6 2

A:

Q: The region between the graphs of f(x) = x² + 3 and g(x) = x + 9 has area square units.

A: SOLUTION-

Q: 5. How do the average rates of change for f(x) = – 0.5x and g(x) = - 1.5x² over the interval -5 < x…

A: Given functions are f(x)=-0.5x2 and g(x)=-1.5x2 over the interval [-5,-2] We know that average rate…

Q: Estimate the area under the graph of f(x) = 9 + 2x2 from x = −1 to x = 2 using three rectangles…

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Q: The graph of f(x) = |x| is reflected over the x-axis, shifted vertically up 1 unit, horizontally 3…

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Q: a) What is the maximum amount of the salt that will ever dissolve in the methanol? b) If x = 50 when…

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Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of…

A: Given, length of rectangle is increasing at a rate of  7 cm/s width of rectangle is increasing at a…

Q: Q4 The length of a rectangle L is increasing at a rate of 8cm/s and its width W is increasing at a…

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Q: Find all relative extrema of F(x)= Ln(x^3+3x^2+2)

A: Given, f(x) = ln(x3 +3x2 +2 ) Differentiating the f(x) with respect to x f'(x) = 3x2 +6x +0x3 +3x2…

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Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing…

A: topic - application of derivatives

Q: Find the average rate of change of f (x) = 2x- 8x from x= 2 to x = 5. Simplify your answer as much…

A: We will find the average rate of change.

Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing…

A: We have to find area on Monday.

Q: Find the average rate of change of f(x) = 9x from 1/2 to 1.

A: Find the average rate of change of f(x) = 9x from 1/2 to 1